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In this paper, we introduce a new class of  g − α s p − admissible mappings and prove some common fixed point theorems involving this new class of mappings which satisfy generalized contractive conditions in the framework of  b − metric spaces. We also provide two examples to show the applicability and validity of our results. Meanwhile, we present an application to the existence of solutions to an integral equation by means of one of our results.

journal of function spaces

Common Fixed Point Results for Generalized <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mfenced open="(" close=")"> <mrow> <mi>g</mi> <mo>−</mo> <msub> <mrow> <mi>α</mi> </mrow> <mrow> <msup> <mrow> <mi>s</mi> </mrow> <mrow> <mi>p</mi> </mrow> </msup> </mrow> </msub> <mo>,</mo> <mi>ψ</mi> <mo>,</mo> <mi>φ</mi> </mrow> </mfenced> </math> Contractive Mappings with Applications

Common Fixed Point Results for Generalized g − α s p , ψ , φ Contractive Mappings with Applications

Common Fixed Point Results for Generalized $(g - α_{s^{p}}, ψ, φ)$ Contractive Mappings with Applications